A line passes through the point with position vector and is in the direction of

MATHEMATICS · Subjective · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

A line passes through the point with position vector

2\hat{i} - 3\hat{j} + 4\hat{k}

and is in the direction of

3\hat{i} + 4\hat{j} - 5\hat{k}

. Find the equation of the line in vector and cartesian forms.